Comment #3 on issue 1768 by [email protected]: integrate(sin(x)*tan(x), x) fails but integrate(sin(x)**2/cos(x), x) doesn't
http://code.google.com/p/sympy/issues/detail?id=1768

we can detect and replace all the trignometric functions like sinx,cosx etc.by symbolic notations like sinx=(P/H),cosx=(B/H)etc. and then simplify expressions in P,B and H. after wards we can substitute P=H*sinx and B=H*cosx and similarly for rest of trig. functions present. It would be simplified and can be integrated. It can be implemented in a patch

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